5. 20 points. Uppal, Ray and Poore provide the following system of differential

Question

5. 20 points. Uppal, Ray and Poore provide the following system of differential equations describing irreversible, first-order, exothermic reactions in a CSTR: a(1 i)exp( dt where ci and r2 are dimensionless concentration and temperature variables, respec- tively, and Da, , B, and are dimensionless parameters that describe the dynamics behavior of the CSTR. Write a MATLAB function that will create phase planes for each of the following cases. Briefly explain the result of each phase plane. a) Use the parameters Da = 0.085, B = 22.0, and -3.0 with an initial condition of x1 = 0.8, x2 = 4.25. c) Use the parameters Da-0320. B = 11.2, and -3.0 with an initial condition of x1 = 0.95, T2 = 2.5, and = 0.7, x2 = 1.8.

Explanation / Answer

LIBRARY IEEE;
USE ieee.std_logic_1164.ALL;
USE ieee.numeric_std.ALL;
ENTITY HW7 IS
PORT (clk,reset_n,d : IN std_logic; --reset_n = low active
q: OUT std_logic);
END ENTITY HW7;
ARCHITECTURE Behavioral OF HW7 IS --DFF with a synchronous reset
BEGIN
PROCESS (CLK)
BEGIN
IF (rising_edge(clk)) THEN
IF(reset_n = '0') THEN
q <= '0' ;
ELSE
q <= d;
END IF;
END IF;
END PROCESS;
END ARCHITECTURE Behavioral;

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